Находим используя формулу герона
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √45(45 - 37)(45 - 13)(45 - 40)<span> =</span>
= √45·8·32·5 = √57600<span> = 240 (м)</span><span>2
</span>p = <span><span>a + b + c</span>2</span> = <span>12</span> (44 + 33 + 15) = 46
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √46(46 - 44)(46 - 33)(46 - 15)<span> =</span>
= √46·2·13·31 = √37076<span> = 2√</span>9269 ≈ 192.55129186790722 (м)<span>2
</span>p = <span><span>a + b + c</span>2</span> = <span>12</span> (12 + 5 + 12) = 14.5
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √(14.5)(14.5 - 12)(14.5 - 5)(14.5 - 12)<span> =</span>
= √(14.5)·(2.5)·(9.5)·(2.5) = √860.9375<span> = </span><span><span>5√551</span>4</span> ≈ 29.341736485763757 (м)<span>2
</span>
p = <span><span>a + b + c</span>2</span> = <span>12</span> (12 + 9 + 15) = 18
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √18(18 - 12)(18 - 9)(18 - 15)<span> =</span>
= √18·6·9·3 = √2916<span> = 54 (м)</span><span>2
</span>p = <span><span>a + b + c</span>2</span> = <span>12</span> (15 + 8 + 17) = 20
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √20(20 - 15)(20 - 8)(20 - 17)<span> =</span>
= √20·5·12·3 = √3600<span> = 60 (м)</span><span>2
</span>p = <span><span>a + b + c</span>2</span> = <span>12</span> (18 + 24 + 30) = 36
S<span> = √</span><span>p(p - a)(p - b)(p - c)</span><span> = </span>
= √36(36 - 18)(36 - 24)(36 - 30)<span> =</span>
= √36·18·12·6 = √46656<span> = 216 (м)</span><span>2</span>
в больший квадрат вписана большая окружность. Радиус вписанной окружности равен половине стороны квадрата. Сторона квадрата равна корню квадртаному из площади. Сторона большего квдрата a= V8=2V2, R=1/2 a=1/2 *2V2=V2.
R=2r r=1/2R, т.е. R равен стороне маленького квадрата, а его площадь V2 *V2=2
Формула знаходження довжини дуги кола:L=(Пrn):180
L=(3,14*4*207):180=2599,92:180=14,444 см
Відповідь:L=14,444 см
